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Free, publicly-accessible full text available June 16, 2026
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Jacobs, J; Salmaniw, Y; Lam, K Y; Zhai, L; Wang, H; Zhang, B (, Conservation biology)
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Cantrell, R.S.; Lam, K.-Y. (, Discrete and continuous dynamical systems)null (Ed.)We analyze a reaction-diffusion system modeling the competition of multiple phytoplankton species which are limited only by light. While the dynamics of a single species has been well studied, the dynamics of the twospecies model has only begun to be understood with the recent establishment of a comparison principle. In this paper, we show that the competition of N similar phytoplankton species, for any number N, generically leads to competitive exclusion. The main tool is the theory of a normalized principal bundle for linear parabolic equations.more » « less
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